Doubt from Quadratic Equations

Seems easy but unable to do it. Please someone tell me how to solve.

Both roots can be either 0 or both roots can be 1 as 0^2 = 0 and 1^2 = 1.

I guess this should give the answer.

ohk got it but you are missing one more case. w=w^2 (complex no.)

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Ah yes. Sorry and thanks.

Actually the roots satisfy z^4=z